Lower bound of measure and embeddings of Sobolev, Besov and Triebel-Lizorkin spaces

Nijjwal Karak

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arXiv · 1803.08499

Lower bound of measure and embeddings of Sobolev, Besov and Triebel-Lizorkin spaces

Nijjwal Karak

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Abstract

In this article, we study the relation between Sobolev-type embeddings for Sobolev spaces or Besov spaces or Triebel-Lizorkin spaces defined either on a doubling or on a geodesic metric measure space and lower bound for measure of balls either in the whole space or in a domain inside the space.

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Nijjwal Karak. 2018-03-22. Lower bound of measure and embeddings of Sobolev, Besov and Triebel-Lizorkin spaces. https://arxiv.org/abs/1803.08499

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